Who Am I?

Basic Tests

Mostly use d20 (20-sided die)

1. Roll 1d20
2. Add appropriate modifiers
3. Compare to target Difficulty Class

Contested Rolls

Used for direct contests

1. Both roll 1d20
2. Add appropriate modifiers
3. Highest result wins

Discrete space

No need for simulation

\[\begin{eqnarray*} 1\text{d}20 &\rightarrow& 20 \text{ possible outcomes} \\ 2\text{d}20 &\rightarrow& 400 \text{ possible outcomes} \end{eqnarray*}\]

Create table of outcomes for 2d20.

\[\begin{eqnarray*} \text{Straight: } &\rightarrow& \text{ use first die} \\ \text{Adv/Disadv: } &\rightarrow& \text{ use max/min of two dice} \\ \text{ROLL(P/M)#: } &\rightarrow& \text{ adjust first die} \end{eqnarray*}\]

What is the impact of advantage / disadvantage

Resolve Contests

Both Roll 1d20, add bonus

Discrete Space

Bigger and messier

Use simulation

Pavluk of Pelor

Fighting Large Wolf

20% -> AC 13

80% -> AC 14

20% -> +5 attack, 1d12 + 3

70% -> +6 attack, 1d12 + 4

10% -> +7 attack, 1d12 + 5

Move and Help Rogue

Move beside Rogue

Help action (+5 attack, +1d6)

Give advantage

Cast Guiding Bolt

Cast Guiding Bolt

+5 attack, 4d6 damage, grants advantage

Move and Help Champion

Move beside Wolf

Help Champion (+6 attack, 2d6 damage)

Give advantage

Looks like Pavluk is spell-casting…

+/- 3 on average (all test difficulties)

Advantage about +4 for gameplay

Non-linearity

Effects non-intuitive

This talk…

https://github.com/kaybenleroll/data_workshops/talk_gaming_dndadv_202301